Air-gap flash: Difference between revisions

Latest revision as of 18:38, 22 September 2014

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-In algebra, a [[filtered ring]] ''A'' is said to be '''almost commutative''' if the associated graded ring <math>\operatorname{gr}A = \oplus A_i/{A_{i-1}}</math> is [[commutative ring|commutative]].
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-Basic examples of almost commutative rings involve differential operators. For example, the enveloping algebra of a complex [[Lie algebra]] is almost commutative by the [[PBW theorem]]. Similarly, a [[Weyl algebra]] is almost commutative.
-== See also ==
-*[[Ore condition]]
-*[[Gelfand–Kirillov dimension]]
-== References ==
-*[[Victor Ginzburg]], [http://www.math.harvard.edu/~gaitsgde/grad_2009/Ginzburg.pdf Lectures on D-modules]
-{{algebra-stub}}
-[[Category:Ring theory]]